223333121333322 has 576 divisors, whose sum is σ = 675277435752192. Its totient is φ = 51869304115200.

The previous prime is 223333121333303. The next prime is 223333121333351.

It is a happy number.

223333121333322 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 3 + 312 + 1 + 3 + 3 + 332 + 2 = 666.

223333121333322 is nontrivially palindromic in base 10.

223333121333322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1664597922 + ... + 1664732082.

It is an arithmetic number, because the mean of its divisors is an integer number (1172356659292).

Almost surely, 2^{223333121333322} is an apocalyptic number.

223333121333322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223333121333322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337638717876096).

223333121333322 is an abundant number, since it is smaller than the sum of its proper divisors (451944314418870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223333121333322 is a wasteful number, since it uses less digits than its factorization.

223333121333322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134475 (or 134461 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 223333121333322 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty-two".